Which function represents a reflection of f(x) = Three-sevenths(2)x over the x-axis?

g(x) = –Three-sevenths(2)x
g(x) = Three-sevenths(–2)x
g(x) = Three-sevenths (one-half)–x
g(x) = Seven-thirds(2)–x

Given:

The given function is

We need to determine the reflection of f(x) over the x - axis

Reflection over x - axis:

The translation rule to reflect over the x - axis is given by

Thus, applying the rule, the function becomes

Multiplying both sides of the equation by -1, we have;

This can be written as

Hence, the reflection of the function over the x - axis is

Thus, Option A is the correct answer.

step-by-step explanation:

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step-by-step explanation: